Naredite tabelo resnice za predlog ¬q [(pΛq) V ~ p]?

Naredite tabelo resnice za predlog ¬q [(pΛq) V ~ p]?
Anonim

Odgovor:

Glej spodaj.

Pojasnilo:

Glede na: #not p -> (p ^^ q) vv ~ p #

Logični operaterji:# "ni p:" ni p, ~ p; "in:" ^^; ali: vv #

Logične tabele, negacija:

#ul (| "" p | "" q | "" ~ p | "" ~ q |) #

# "T |" "T |" "F |" "F | #

# "" T | "" F | "" F | "" T | #

# "" F | "" T | "" T | "F | #

# "" F | "" F | "" T | "T | #

Logične tabele in & ali:

#ul (| "" p | "" q | "" p ^^ q "" | "" qvvq "" |) #

# | "" T | "" T | "" T "" | "" T "" | #

# | "" T | "" F | "" F "" | "" T "" | #

# | "" F | "" T | "" F "" | "" T "" | #

# | "" F | "" F | "" F "" | "" F "" | #

Logične tabele, če:

#ul (| "" p | "" q | "" p-> q "" |) #

# | "" T | "" T | "" T "" | #

# | "" T | "" F | "" F "" | #

# | "" F | "" T | "" T "" | #

# | "" F | "" F | "" T "" | #

Glede na logični predlog 1 del:

#ul (| "" p ^^ q "" | "" ~ p "" | "" (p ^^ q) vv ~ p |) #

# | "" T "" | "" F "" | "" T "" | #

# | "" F "" | "" F "" | "" F "" | #

# | "" F "" | "" T "" | "" T "" | #

# | "" F "" | "" T "" | "" T "" | #

Glede na logični predlog 2. del:

#ul (| "" ~ q "" | "" (p ^^ q) vv ~ p | "" ~ q -> (p ^^ q) vv ~ p |) #

# | "" F "" | "" T "" | "" T "" | #

# | "" T "" | "" F "" | "" F "" | #

# | "" F "" | "" T "" | "" T "" | #

# | "" T "" | "" T "" | "" T "" | #